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Q: Calculate whether it is convergent or divergent. (4x)2* x=1

A: Given series is ∑x=1∞(4x)2xexx2x

Q: Σ n=1

A: Let the given series be: ∑n=1∞an where, an=3n(n+2)!n5

Q: Does / dx converge or diverge? Justify. -7 0, x' + x'

A: Plot the graph of the function.

Q: allsweCI -5e" dx converges 4x to

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Q: Does diverge? If it converges, find the value. xe da converge or

A: ∫0∞xe-x2dx

Q: Decide whether the following converges or diverges. Ln=1 Inn+n/2

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Q: By 6/2silon definition, check the Convergenre of the following Sequenies. = 2n21

A: Given that, Sn=2n2+12n2-1 We find the limit of this sequence as follows:…

Q: If 2 a, is convergent with positive terms n=1 is it true that sin (a,) is also n=1 convergent?…

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Q: 1 dx x² +7

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Q: 16 dx

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Q: 4 dx

A: Use limit comparison test and p series test

Q: - i. Determine whether n=1 is convergent using ratio test. en ton-1 n

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: valuate the in pro per integral lnx_ 1x if it is ime if it is convergent.

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Q: 00 dz Vr² + 11z + 19 00 I + 11 1³ + 11x² + 71 IP- 1

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Q: 1 x + ex 2 g dx

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Q: Does dz converge or diverge? Why?

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Q: Which converge and diverge?

A: In this question, we have given four multivariable functions. for each of them, we have to check the…

Q: 2) is E=1 2n convergent?

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Q: For what values of r does the sequence {rn} converge? Diverge?

A: Concept used: The mathematical expression of infinite geometric series in general is written as…

Q: Determine if it converges or diverges

A: Given series is ∑k=2∞(-1)kk2k2+3k-1 expanding we can write as ∑k=2∞(-1)kk2k2+3k-1=49-917+1627-...

Q: (– 1)" E -1)n n=2 Inn

A: The given series is ∑n=2∞(-1)nln n

Q: 1. da is convergent rod

A: Consider the given integral: ∫1∞1x2dx To test the convergence of integral. Solve the following:…

Q: Find 2x dx. (if it converges)

A: Idea: use substitution method to integrate  then we get undefined value  so integral is not convert

Q: Σ s2 an convergent or divergent?

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Q: Test the following sevies Por being convergent or divergent. n+3 s (-リt) (-1) n(nt1)

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Q: 2) Does E ne " converge or diverge? n=1

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Q: 4. Which comparison would show that dx converges? x + e*

A: According to the given information, it is required to tell which comparison would show that the…

Q: 3. Is the solution of (D₁) convergent or divergent? Justify your answer.

A: Given That : Differential equation is  2x'(t)-8e-x(t)+5=0 ,x(0)=ln(4)y(t)=ex(t)-3 To Find :…

Q: etermine whether the serres Converges 12 Live age or duer 1- onditionally absoutely 3ntl

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: ∫0∞eax dx converges for a<0. Now, ∫0∞eax dx=eaxa0∞=1ae-∞-e0=1a0-1=-1a

Q: n-5 n+2

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Q: DA. The sequence {(- 0.002)"} converges by oscillation to the limit |

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Q: rmine whether sin z is convergent.

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Q: The integrals below converge. Evaluate

A: The improper integral converges, when limit exist is finite.

Q: 9) n+3"

A: Comparison test for series of positive terms states that, If an, bn are two series such that…

Q: +00 3 E(-1)"+1, n n=1

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Q: Calculate dx, Also state whether The integral converges or diverges, and in the latter cose, ifit…

A: Consider the given integral ∫e∞1xlnx2dx

Q: What is the difference between arithmetic and geometric average return? Do they always converge?

A: Average return : The average come back is that the basic mathematical average of a series of returns…

Q: Are there cmy value g fer which converges.

A: Givens equence is, ∑n=1∞1nx We know that , the p-series ∑n=1∞1np=11p+12p+13p+....+1np+... Converges…

Q: an is convergent.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The Ratio Test can be used to determine whether O True O False converges.

A: Given ∑1n3

Q: dx is convergent V2 1 True False 1, 8.

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Q: Find J Ta-xdx

A: Given integral is ∫x1−x23dx. We have to solve the given integral. Substitute 1−x2=u…

Q: o Inx 2. For p>1, is S, dx convergent? 1 xP

A: It is the improper integral of first kind , limit of integration is infinity. There is so many test,…

Q: Oiscuss the Convergen ce or Divergence n? tin3 n3 -1

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Q: The rental of the office space in sm downtown will increase 8% in each of the four years, using the…

A: We have to find cash flow

Q: 11 dx Determine whether is convergent or not. (3 – x)2/3

A: As the value of Integral is finite, it converges.

Q: For values of 9, 6 70 to llowing integod is which Convergent? 2* (1+ x)

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Q: 1 3.

A: According to definite integral formula ∫acf(x) dx=∫abf(x) dx+∫bcf(x) dx . According to power rule of…

Q: Perform a test to determine if dx converges or diverges. - 0o Vx° +6

A: